Initial Pressure using Integrated Form of Clausius-Clapeyron Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))
Pi = Pf/(exp(-(LH*((1/Tf)-(1/To)))/[R]))
This formula uses 2 Constants, 1 Functions, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, exp(Number)
Variables Used
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
Final Pressure of System - (Measured in Pascal) - Final Pressure of System is the total final pressure exerted by the molecules inside the system.
Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
Final Temperature - (Measured in Kelvin) - The Final temperature is the temperature at which measurements are made in final state.
Initial Temperature - (Measured in Kelvin) - The Initial temperature is defined as the measure of heat under initial state or conditions.
STEP 1: Convert Input(s) to Base Unit
Final Pressure of System: 15 Pascal --> 15 Pascal No Conversion Required
Latent Heat: 1000 Joule --> 1000 Joule No Conversion Required
Final Temperature: 27 Kelvin --> 27 Kelvin No Conversion Required
Initial Temperature: 20 Kelvin --> 20 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pi = Pf/(exp(-(LH*((1/Tf)-(1/To)))/[R])) --> 15/(exp(-(1000*((1/27)-(1/20)))/[R]))
Evaluating ... ...
Pi = 3.15492308589246
STEP 3: Convert Result to Output's Unit
3.15492308589246 Pascal --> No Conversion Required
FINAL ANSWER
3.15492308589246 Pascal <-- Initial Pressure of System
(Calculation completed in 00.016 seconds)

Credits

Created by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
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National Institute of Information Technology (NIIT), Neemrana
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Initial Pressure using Integrated Form of Clausius-Clapeyron Equation Formula

Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))
Pi = Pf/(exp(-(LH*((1/Tf)-(1/To)))/[R]))

What is the Clausius–Clapeyron relation?

The Clausius–Clapeyron relation, named after Rudolf Clausius and Benoît Paul Émile Clapeyron, is a way of characterizing a discontinuous phase transition between two phases of matter of a single constituent. On a pressure–temperature (P–T) diagram, the line separating the two phases is known as the coexistence curve. The Clausius–Clapeyron relation gives the slope of the tangents to this curve.

How to Calculate Initial Pressure using Integrated Form of Clausius-Clapeyron Equation?

Initial Pressure using Integrated Form of Clausius-Clapeyron Equation calculator uses Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])) to calculate the Initial Pressure of System, The Initial Pressure using integrated form of Clausius-Clapeyron Equation is the initial state pressure of the system. Initial Pressure of System is denoted by Pi symbol.

How to calculate Initial Pressure using Integrated Form of Clausius-Clapeyron Equation using this online calculator? To use this online calculator for Initial Pressure using Integrated Form of Clausius-Clapeyron Equation, enter Final Pressure of System (Pf), Latent Heat (LH), Final Temperature (Tf) & Initial Temperature (To) and hit the calculate button. Here is how the Initial Pressure using Integrated Form of Clausius-Clapeyron Equation calculation can be explained with given input values -> 3.154923 = 15/(exp(-(1000*((1/27)-(1/20)))/[R])).

FAQ

What is Initial Pressure using Integrated Form of Clausius-Clapeyron Equation?
The Initial Pressure using integrated form of Clausius-Clapeyron Equation is the initial state pressure of the system and is represented as Pi = Pf/(exp(-(LH*((1/Tf)-(1/To)))/[R])) or Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])). Final Pressure of System is the total final pressure exerted by the molecules inside the system, Latent Heat is the heat that increases the specific humidity without a change in temperature, The Final temperature is the temperature at which measurements are made in final state & The Initial temperature is defined as the measure of heat under initial state or conditions.
How to calculate Initial Pressure using Integrated Form of Clausius-Clapeyron Equation?
The Initial Pressure using integrated form of Clausius-Clapeyron Equation is the initial state pressure of the system is calculated using Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])). To calculate Initial Pressure using Integrated Form of Clausius-Clapeyron Equation, you need Final Pressure of System (Pf), Latent Heat (LH), Final Temperature (Tf) & Initial Temperature (To). With our tool, you need to enter the respective value for Final Pressure of System, Latent Heat, Final Temperature & Initial Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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